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Finding the Fourth Proportional to 24,756.48, 34,163.52 and 13,578.24

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Solution

The fourth proportional to 24,756.48, 34,163.52 and 13,578.24 is: 18,737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,756.48 : 34,163.52 = 13,578.24 : x
  2. Step 2: Convert to fraction form
    24,756.48/34,163.52 = 13,578.24/x
  3. Step 3: Cross multiply
    24,756.48x = 34,163.52 × 13,578.24
  4. Step 4: Simplify right side
    24,756.48x = 463,880,473.80
  5. Step 5: Solve for x
    x = 463,880,473.80/24,756.48
  6. Step 6: Final answer
    x = 18,737.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.